How Does Wind Affect a Boat's Speed and Direction?

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A boat traveling east at 5.0 m/s experiences a gust of wind that accelerates it at 0.80 m/s², 40 degrees north of east. After 6.0 seconds of this acceleration, the final speed and direction need to be calculated using the formula V_f = V_i + a * t. One participant calculated the final speed as 9.2 m/s at an angle of 19.5 degrees, while another claimed to have arrived at 9.8 m/s, leading to confusion over the correct solution. The discussion emphasizes the importance of correctly applying the acceleration vector and time in the calculations. Accurate vector addition is crucial for determining the boat's new speed and direction.
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A boat travels east at 5.0 m/s. A sudden gust of wind gives the boat an acceleration of (.80m/s^2, 40 degress north of east).
What is the boat's speed and direction 6.0 s later when the gust subsides.
 
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Try the equation:

V_f = V_i + a * t


Vf= Final velocity
Vi= Initial velocity

a= accelration
t= time
 
It didn't work.
I applied the formula and had 9.8m/s
 
There's no way you could've gotten that answer.

I plugged in the inital and final velocity and the duration of the acceleration which was 6 seconds. The units check out. My results:

9.2 m/s at 19.5 degrees
 
How did you arrive at your solution?
 

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